The fencing problem.
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Math investigation Aim - A farmer has exactly 1000 meters of fencing, with it she wishes to fence off a plot of level land. She is not concerned about the plot, but it must have a perimeter of 100m. I will be investigating different possible shapes, which could have the maximum area. Hypothesis - My hypothesis I predict that the shape that has the maximum area is a circle, as it as an infinite number of sides. I will be starting my investigation with Quadrilaterals. The first shape I will be investigating is a square, which is a regular shape with four sides that has all sides of equal length and equal angles. Width Length The perimeter has to be 1000 meters, therefore I will divide 1000 by four 1000÷4 = 250 250m 250m 250m 250m To find the area of a square, I have to use the formula: Length x width Therefore, I will...

